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Finding the Fourth Proportional to 6,384.27, 8,807.79 and 4,709.64

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Solution

The fourth proportional to 6,384.27, 8,807.79 and 4,709.64 is: 6,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.27 : 8,807.79 = 4,709.64 : x
  2. Step 2: Convert to fraction form
    6,384.27/8,807.79 = 4,709.64/x
  3. Step 3: Cross multiply
    6,384.27x = 8,807.79 × 4,709.64
  4. Step 4: Simplify right side
    6,384.27x = 41,481,520.10
  5. Step 5: Solve for x
    x = 41,481,520.10/6,384.27
  6. Step 6: Final answer
    x = 6,497.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.